90621553680 has 320 divisors, whose sum is σ = 357477120000. Its totient is φ = 20670266880.

The previous prime is 90621553657. The next prime is 90621553717. The reversal of 90621553680 is 8635512609.

90621553680 is a `hidden beast` number, since 90 + 6 + 2 + 1 + 553 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7538875 + ... + 7550885.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116000).

Almost surely, 2^90621553680 is an apocalyptic number.

90621553680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90621553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560000).

90621553680 is an abundant number, since it is smaller than the sum of its proper divisors (266855566320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90621553680 is a wasteful number, since it uses less digits than its factorization.

90621553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 90621553680 in words is "ninety billion, six hundred twenty-one million, five hundred fifty-three thousand, six hundred eighty".